The order of volume from least to greatest is C, B and A.
Step-by-step explanation:
Given:
Three Cylinders namely A, B, and C with different heights have the same radius.
To Find:
Arrange the cylinders from least to greatest with respective to their volume.
Formula for volume of cylinder:
V= [tex]\pi r^{2} h[/tex]
i.e V∝ h (for constant radius)
where,
r = radius of cylinder
h = height of cylinder
we see that Volume is directly proportional to height.
Consider, [tex]h_{1}, h_{2},h_{3}[/tex] are the heights of cylinder A,B,C respectively, such that;
[tex]h_{1}[/tex] > [tex]h_{2}[/tex] > [tex]h_3}[/tex]
And, [tex]V_{1}, V_{2},V_{3}[/tex] are the volume of cylinder A,B,C respectively.
So the order of volume will also be,
[tex]V_{1}[/tex] > [tex]V_{2}[/tex] > [tex]V_3}[/tex]
